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victus00 [196]
2 years ago
5

45 marbles in 9 bags; 150 marbles in 36 bags is this rate proportional?

Mathematics
1 answer:
stellarik [79]2 years ago
7 0

Answer:

No, the rate is not proportional.

Step-by-step explanation:

If there are 45 marbles in 9 bags, we can assume that there are 5 marbles in each bag.

Going by that rate, we can do 5 * 36 = 180, NOT 150.

Thus, the rate is not proportional.

Another way to solve would be to do 45/9 and 150/36. If the rate is proportional, the answer for both should be the same.

However, 45/9=5 and 150/36=4.16666666667.

Those two answers are NOT equal.

Thus, the rate is not proportional.

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Tell whether the data in the table can be modeled by a linear equation. Explain.
anastassius [24]

Answer:

y = -3x + 7

Step-by-step explanation:

Choosing two points from the given table:

Let (x1, y1) = (-3, 16)

(x2, y2) = (-1, 10)

Plug these given values into the slope formula:

m = (y2 - y1)/(x2 - x1)

   = (10 - 16) / (-1 - (-3))

   = -6 / (-1 + 3)

   = -6/2

   = -3

Therefore, the slope is -3.

Next, choose one of the points and plug into the <u>point-slope form</u>:

Let's use (-1, 10) as (x1, y1):

y - y1 = m(x - x1)

y - 10 = -3(x - (-1))

y - 10 = -3(x + 1)

y - 10 = -3x - 3

Add 10 on both sides to isolate y:

y - 10 + 10 = -3x - 3 + 10

y = -3x + 7

8 0
2 years ago
Identify the numerical coefficient, the variable,
jolli1 [7]

Answer:

A numerical coefficient is a constant multiplier of the variables in a term. so it would be 3x cause it has a number and a variable.

a variable is a symbol which functions as a placeholder for varying expression or quantities, so x is the variable.

a constant term is a term in an algebraic expression that has a value that is constant or cannot change, because it does not contain any modifiable variables.  so it would be the 2

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Which equation represents a line that passes through 4 6) and is parallel to the line whose equation is 3x - 4y= 6
Pachacha [2.7K]

Parallel means their slopes should equal to each other.

Thus we need to find the slope of the given line ,

Let's do it.....

3x - 4y = 6

Subtract sides -3x

- 3x + 3x - 4y =  - 3x + 6

- 4y =  - 3x + 6

Divided sides by -4

\frac{ - 4}{ - 4}y =  \frac{ - 3}{ - 4}x +  \frac{6}{ - 4} \\

y = \frac{3}{4}x -  \frac{3}{2}  \\

This is the slope-intercept of the line.

We know that the coefficient of the x in slope-intercept form , is the slope of the line.

Thus the slope of the equation which we want is :

slope =  \frac{3}{4} \\

_________________________________

We have following equation to find the point-slope form of the linear functions.

y - y(given \: point) = slope \times (x - x(g \: p) \: ) \\

Now just need to put the slope and the given point in the above equation.

y - 6 =  \frac{3}{4} \times (x - 4) \\

Multiply sides by 4

4(y - 6) = 3(x - 4)

4y - 24 = 3x - 12

Plus sides 24

4y - 24 + 24 = 3x - 12 + 24

4y = 3x + 12

Subtract sides -3x

4y - 3x = 3x - 3x + 12

4y - 3x = 12

And we're done....♥️♥️♥️♥️♥️

4 0
3 years ago
Is 7 a whole number ​
rusak2 [61]
Yes, it isn’t a fraction, decimal, or mixed number.
6 0
2 years ago
Sophia went to see a play at the theater downtown. 8:30 PM. The first act was 55 minutes long. Intermission lasted for 20 minute
Westkost [7]
10:45 is when the play is done
8 0
2 years ago
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